1115968417200 has 960 divisors, whose sum is σ = 5046477004800. Its totient is φ = 227855462400.

The previous prime is 1115968417189. The next prime is 1115968417259. The reversal of 1115968417200 is 27148695111.

1115968417200 is a `hidden beast` number, since 1 + 1 + 159 + 68 + 417 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30448486 + ... + 30485114.

It is an arithmetic number, because the mean of its divisors is an integer number (5256746880).

Almost surely, 2^{1115968417200} is an apocalyptic number.

1115968417200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1115968417200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523238502400).

1115968417200 is an abundant number, since it is smaller than the sum of its proper divisors (3930508587600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1115968417200 is a wasteful number, since it uses less digits than its factorization.

1115968417200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36707 (or 36690 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1115968417200 in words is "one trillion, one hundred fifteen billion, nine hundred sixty-eight million, four hundred seventeen thousand, two hundred".